The Sinkhorn treatment effect is a new entropic optimal transport measure of divergence between counterfactual distributions that admits first- and second-order pathwise differentiability, debiased estimators, and asymptotically valid tests for distributional treatment effects.
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Stability estimates show the k-plane transform on Radon measures is bi-Lipschitz equivalent to a Fourier metric and Hölder equivalent to Wasserstein distance, with a strong Sobolev equivalence for bounded-density measures.
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Sinkhorn Treatment Effects: A Causal Optimal Transport Measure
The Sinkhorn treatment effect is a new entropic optimal transport measure of divergence between counterfactual distributions that admits first- and second-order pathwise differentiability, debiased estimators, and asymptotically valid tests for distributional treatment effects.
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Stability Estimates for the $k$-plane Transform on Measures and a H\"older-Type Comparison Between Wasserstein and Max-Sliced Wasserstein Distances
Stability estimates show the k-plane transform on Radon measures is bi-Lipschitz equivalent to a Fourier metric and Hölder equivalent to Wasserstein distance, with a strong Sobolev equivalence for bounded-density measures.